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Finding the Third Proportional to 15,527 and 34,072

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Solution

The third proportional to 15,527 and 34,072 is: 74,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527 : 34,072 = 34,072 : x
  2. Step 2: Convert to fraction form
    15,527/34,072 = 34,072/x
  3. Step 3: Cross multiply
    15,527x = 34,072 × 34,072
  4. Step 4: Simplify right side
    15,527x = 1,160,901,184
  5. Step 5: Solve for x
    x = 1,160,901,184/15,527
  6. Step 6: Final answer
    x = 74,766.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.